#### DMCA

## Cellular Texture Generation (1995)

### Cached

### Download Links

- [www.cs.brown.edu]
- [vis.cs.brown.edu]
- [www.cs.drexel.edu]
- [www.gg.caltech.edu]
- DBLP

### Other Repositories/Bibliography

Citations: | 82 - 2 self |

### Citations

1162 |
Classical Mechanics
- Goldstein
- 1980
(Show Context)
Citation Context ...e. The formulation works with any of the cell's axes. The form of the cell program comes from the equation q 0 = (1=2) ! q; which defines the rate of change of a quaternion, q, for angular velocity ! =-=[12]-=-. If we have multiple cell programs of this form, the ! i terms add, which allows us to constrain one, two, or all three axes of the cells. If the orientation constraints conflict, the cell's orientat... |

1137 |
The chemical basis of morphogenesis
- Turing
- 1952
(Show Context)
Citation Context ...tivated Morphogenesis The cellular development system which forms the basis of this work [6, 7, 8] incorporates elements of several established biological models of morphogenesis: Turing's morphogens =-=[35]-=-, Odell's mechanical models [20], and Lindenmayer-system cell lineage determinants [24], as well as our own model of cell contact and adhesion. Much well-known computer graphics work is biologically b... |

754 |
Mathematical Biology
- Murray
- 1993
(Show Context)
Citation Context ...rete cells. The full derivation [7] of this set of equations is beyond the scope of this paper, however we will describe the equations briefly. The first equation in this set defines a genetic switch =-=[18]-=- that tends to drive S c0 towards one of two values, depending on the influence of the termsa0 = a2 . In terms of Meinhardt's activator-inhibitor models [16], S c0 is the activator and S a1 is the inh... |

596 |
A theory of biological pattern formation
- Gierer, Meinhardt
- 1972
(Show Context)
Citation Context ...ation in this set defines a genetic switch [18] that tends to drive S c0 towards one of two values, depending on the influence of the termsa0 = a2 . In terms of Meinhardt's activator-inhibitor models =-=[16]-=-, S c0 is the activator and S a1 is the inhibitor, which is propagated by the activity of membrane chemicals. The other equations determine interactions of membrane chemicals that lead to an effective... |

558 |
schools: a distributed behavioral model
- Reynolds, Flocks
- 1987
(Show Context)
Citation Context ...s and other criteria [17, 34]. Our work includes elements of Witkin and Heckbert's surface-constrained particles [41], and the orientation constraints of Szeliski and Tonneson [33]. Reynold's "bo=-=ids" [27]-=- introduced somewhat more sophisticated interacting particles with programmable behaviors. In addition, his boids, like our interacting cells, can sense and react to each other and to their environmen... |

443 | Re-tiling polygonal surfaces
- Turk
- 1992
(Show Context)
Citation Context ...screen size (Figure 4); ffl smoothly changing the appearance of a cell based on a continuously varying parameter (Figure 7); ffl using the cell positions to generate a spatial subdivision (similar to =-=[33, 37, 41]-=-); ffl using the cell orientations to compute a flow field on the surface (useful for displacement maps [21]); and ffl experimenting with various colorations and geometries using the same simulation d... |

384 | Particle Systems - A Technique for Modeling a Class of Fuzzy Objects, Co mputer Graphics 17:3
- Reeves
- 1983
(Show Context)
Citation Context ... diffusing and reacting chemicals. However, we are able to reproducesomeforms of reaction-diffusion behavior using cell-cell interaction in the discrete model. Particle Systems Early particle systems =-=[25, 28]-=- had little or no interparticle interaction, unlike later work based on molecular models and other criteria [17, 34]. Our work includes elements of Witkin and Heckbert's surface-constrained particles ... |

380 |
Numerical initial value problems in ordinary differential equations. Prentice-Hall: Englewood Cliffs
- Gear
- 1971
(Show Context)
Citation Context ...n in seconds, and others, like the large datasets, that take many hours (e.g., the bear in Figure 8, and the head in Figure 1). Generally, performance degrades as the differential equations get stiff =-=[11]-=-. For some behaviors, clever cell programs like those described in [41] avoid creating stiff differential equations, and so run faster. Data Explosion The data produced both by the simulation and by t... |

314 | Artificial evolution for computer graphics
- SIMs
- 1991
(Show Context)
Citation Context ...modify other attributes. ffl Force certain problem cells to be a certain way (through direct interaction, Section 4.1). ffl Kill problem cells and regrow (Section 4.1). ffl Apply artificial evolution =-=[29]-=-, and be patient. Simulation Speed Simulations can be slow for some kinds of cell programs. We have some that run in seconds, and others, like the large datasets, that take many hours (e.g., the bear ... |

282 | Generating textures on arbitrary surfaces using reactiondiffusion
- TURK
- 1991
(Show Context)
Citation Context ...us reaction-diffusion equations since it is actually a more detailed model of the same biological system. Reaction-diffusion equations have been successfully applied to the generation of texture maps =-=[36, 40]-=-. Because they are based on natural phenomena, they have an appealing organic quality. In addition, they avoid problems of parameterization and topology by creating the pattern directly on a surface. ... |

261 | L.: Rendering fur with three dimensional textures
- KAJIYA, KAY
- 1989
(Show Context)
Citation Context ...hods ffl Particle Systems Levels of Detail Choosing the appropriate level of detail for image synthesis at a given viewing distance has long been recognized as an important topic in computer graphics =-=[4, 14, 15]-=-. At large scales, geometric models are necessary; intermediate scales, texture mapping and similar techniques may be sufficient; at the smallest scales, illumination models suffice to describe the mi... |

252 | Using particles to sample and control implicit surfaces
- Witkin, Heckbert
- 1994
(Show Context)
Citation Context ... had little or no interparticle interaction, unlike later work based on molecular models and other criteria [17, 34]. Our work includes elements of Witkin and Heckbert's surface-constrained particles =-=[41], and the -=-orientation constraints of Szeliski and Tonneson [33]. Reynold's "boids" [27] introduced somewhat more sophisticated interacting particles with programmable behaviors. In addition, his boids... |

225 |
Shade trees
- COOK
- 1984
(Show Context)
Citation Context ...exel elements appropriately. Our approach addresses this problem, and can produce models to be rendered using texels. Displacement mapping is another technique for adding geometric detail to surfaces =-=[3]-=-. As with texels, the displacement mapping technique does not address the problem of determining which displacements are necessaryto create a specific effect, such as a field of similarly oriented tho... |

215 | Surface modeling with oriented particle systems
- Szeliski, Tonnesen
- 1992
(Show Context)
Citation Context ...based on molecular models and other criteria [17, 34]. Our work includes elements of Witkin and Heckbert's surface-constrained particles [41], and the orientation constraints of Szeliski and Tonneson =-=[33]. Reynold'-=-s "boids" [27] introduced somewhat more sophisticated interacting particles with programmable behaviors. In addition, his boids, like our interacting cells, can sense and react to each other... |

192 |
Approximate and probabilistic algorithms for shading and rendering structured particle systems, Approximate and probabilistic algorithms for shading and rendering structured particle systems
- Reeves, Blau
- 1985
(Show Context)
Citation Context ...ther geometric or textural models of such objects by hand. So we turn to automatic data-amplification techniques, which are similar to the structured particle systemsused to generate models of plants =-=[26, 30]-=-. Developmental Approach For generating organic patterns, it is natural to consider a biologically-based simulation. In previous work [8], we developed a biological developmental model to simulate and... |

175 | Predicting Reflectance Functions From Complex Surfaces
- Westin, Arvo, et al.
- 1992
(Show Context)
Citation Context ...ic models are necessary; intermediate scales, texture mapping and similar techniques may be sufficient; at the smallest scales, illumination models suffice to describe the microgeometry of the object =-=[38]-=-. The level of detail of the models addressed in this paper falls somewhere between the use of hand-crafted geometric models and bump- or texture-mapping. A range of geometric levels is available to u... |

149 | Reaction-diffusion textures
- Kass
- 1991
(Show Context)
Citation Context ...us reaction-diffusion equations since it is actually a more detailed model of the same biological system. Reaction-diffusion equations have been successfully applied to the generation of texture maps =-=[36, 40]-=-. Because they are based on natural phenomena, they have an appealing organic quality. In addition, they avoid problems of parameterization and topology by creating the pattern directly on a surface. ... |

119 | Particle Animation and Rendering Using Data Parallel Computation
- Sims
- 1990
(Show Context)
Citation Context ... diffusing and reacting chemicals. However, we are able to reproducesomeforms of reaction-diffusion behavior using cell-cell interaction in the discrete model. Particle Systems Early particle systems =-=[25, 28]-=- had little or no interparticle interaction, unlike later work based on molecular models and other criteria [17, 34]. Our work includes elements of Witkin and Heckbert's surface-constrained particles ... |

105 |
Anisotropic reflection models
- Kajiya
- 1985
(Show Context)
Citation Context ...hods ffl Particle Systems Levels of Detail Choosing the appropriate level of detail for image synthesis at a given viewing distance has long been recognized as an important topic in computer graphics =-=[4, 14, 15]-=-. At large scales, geometric models are necessary; intermediate scales, texture mapping and similar techniques may be sufficient; at the smallest scales, illumination models suffice to describe the mi... |

95 | Synthetic topiary
- PRUSINKIEWICZ, MECH, et al.
- 1994
(Show Context)
Citation Context ...ter graphics work is biologically based. The combination of developmental models with geometric constraints enables the creation of many organic patterns. It has been explored in work on plant growth =-=[13, 23]-=-, plant organ placement [10], and seashell patterning [9]. Interacting geometric elements were used by [10] to model the placement of plant organs. Our cells are a generalization of these elements, wi... |

89 | Globular Dynamics: A Connected Particle System for Animating Viscous Fluids
- Miller, Pearce
- 1989
(Show Context)
Citation Context ...ell-cell interaction in the discrete model. Particle Systems Early particle systems [25, 28] had little or no interparticle interaction, unlike later work based on molecular models and other criteria =-=[17, 34]. Our work-=- includes elements of Witkin and Heckbert's surface-constrained particles [41], and the orientation constraints of Szeliski and Tonneson [33]. Reynold's "boids" [27] introduced somewhat more... |

86 | Energy constraints on parameterized models
- Witkin, Fleischer, et al.
- 1987
(Show Context)
Citation Context ...f state variables. In this case, the simulation dynamics reflect the dynamics of the equations. In order to write constraints as cell programs, we formulate them as energy functions 1 to be minimized =-=[39]-=-. Each constraint is expressed as an energy function E i (S; ) of the state of the system, S, and the parameters describing the environment, . Hard constraints could also fit into this framework using... |

77 | A simulation testbed for the study of multicellular development: The multiple mechanisms of morphogenesis
- Fleischer, Barr
- 1993
(Show Context)
Citation Context ...uctured particle systemsused to generate models of plants [26, 30]. Developmental Approach For generating organic patterns, it is natural to consider a biologically-based simulation. In previous work =-=[8]-=-, we developed a biological developmental model to simulate and study patterns generated by the motions and interactions of discrete cells (Figure 3). These artificial cells move about,grow, and divid... |

64 | Voxel space automata: modeling with stochastic growth processing in voxel space
- Greene
- 1989
(Show Context)
Citation Context ...ter graphics work is biologically based. The combination of developmental models with geometric constraints enables the creation of many organic patterns. It has been explored in work on plant growth =-=[13, 23]-=-, plant organ placement [10], and seashell patterning [9]. Interacting geometric elements were used by [10] to model the placement of plant organs. Our cells are a generalization of these elements, wi... |

62 |
A.: Ray tracing complex models containing surface tessellations
- SNYDER, BARR
- 1987
(Show Context)
Citation Context ... shape and appearance parameters. renderer: takes shape and appearance parameters plus a scene description and renders the scene. The images in this paper were generated with John Snyder's ray tracer =-=[32]-=-, which was chosen primarily for its speed on large datasets. The implementation of our framework involves the addition of cell-cell interactions, orientation constraints and surface constraints to a ... |

51 |
formal languages
- Plants
(Show Context)
Citation Context ...ther geometric or textural models of such objects by hand. So we turn to automatic data-amplification techniques, which are similar to the structured particle systemsused to generate models of plants =-=[26, 30]-=-. Developmental Approach For generating organic patterns, it is natural to consider a biologically-based simulation. In previous work [8], we developed a biological developmental model to simulate and... |

32 |
A Multiple-Mechanism Developmental Model for Defining
- Fleischer
- 1995
(Show Context)
Citation Context ...l simulator [8]. is to create such displacement maps, for example by creating flow fields [21]. Biologically Motivated Morphogenesis The cellular development system which forms the basis of this work =-=[6, 7, 8]-=- incorporates elements of several established biological models of morphogenesis: Turing's morphogens [35], Odell's mechanical models [20], and Lindenmayer-system cell lineage determinants [24], as we... |

31 | Modeling plants with environment-sensitive automata
- Arvo, Kirk
- 1988
(Show Context)
Citation Context .... For the types of cellular texture we are investigating, the choice of a discrete model seems appropriate. Spatially-oriented models of plant growth are capable of generating attractive plant images =-=[1, 13]-=-. The placement of geometric objects in the environment of plants affects their growth. The importance of combining environmental and endogenous mechanisms in forming organic shapes in computer graphi... |

29 |
Generative Modeling for Computer Graphics and CAD: Symbolic Shape Design Using Interval Analysis
- Snyder
- 1992
(Show Context)
Citation Context ...he cell orientations (red arrows) become the orientations of the thorns. Using a geometric modeler, we created a geometric object that changes shape from a bump to a thorn based on a single parameter =-=[31]-=-. We use the cell state variable S c0 to control this parameter (Section 4). Because of the potentially complicated interdependenciesof the elements, it is difficult to create either geometric or text... |

24 |
A more flexible image generation environment
- Crow
- 1982
(Show Context)
Citation Context ...hods ffl Particle Systems Levels of Detail Choosing the appropriate level of detail for image synthesis at a given viewing distance has long been recognized as an important topic in computer graphics =-=[4, 14, 15]-=-. At large scales, geometric models are necessary; intermediate scales, texture mapping and similar techniques may be sufficient; at the smallest scales, illumination models suffice to describe the mi... |

18 |
Constraint Methods for Neural Networks and Computer Graphics
- Platt
- 1989
(Show Context)
Citation Context ...xpressed as an energy function E i (S; ) of the state of the system, S, and the parameters describing the environment, . Hard constraints could also fit into this framework using Lagrange multipliers =-=[22]-=-. Using relative constants k i to weight the soft constraints, we express the overall energy to minimize as:sE(S; ) = k 1 E 1 (S; ) + \Delta \Delta \Delta + k n EN (S; ) We can minimize this energy ac... |

11 |
Przemyslaw Prusinkiewicz. Modeling seashells
- Fowler, Meinhardt
- 1992
(Show Context)
Citation Context ...velopmental models with geometric constraints enables the creation of many organic patterns. It has been explored in work on plant growth [13, 23], plant organ placement [10], and seashell patterning =-=[9]-=-. Interacting geometric elements were used by [10] to model the placement of plant organs. Our cells are a generalization of these elements, with many additional capabilities, including independent mo... |

9 |
Complex spatial patterns from tissu interactions – An illustrative model
- Manoranjan, Murray
- 1987
(Show Context)
Citation Context ...to geometric texture generation (Figure 1). The textures we model are formed from many interacting geometric elements. Actual fur, scales, and thorns may be formed from single cells or multiple cells =-=[19]-=-. In either case, we assume that the texture patterns arise from the interactions of discrete elements capable of movement and orientation change, and model each of these elements as one cell. The pat... |

8 |
Displacement mapping using flow fields
- PEDERSEN
- 1994
(Show Context)
Citation Context ...lication of our technique Figure 3: These images demonstrate the pattern formation capabilities of our 2-D cell simulator [8]. is to create such displacement maps, for example by creating flow fields =-=[21]-=-. Biologically Motivated Morphogenesis The cellular development system which forms the basis of this work [6, 7, 8] incorporates elements of several established biological models of morphogenesis: Tur... |

7 |
From goop to glop: heating and melting deformable models
- Terzopoulos, Platt, et al.
- 1989
(Show Context)
Citation Context ...ell-cell interaction in the discrete model. Particle Systems Early particle systems [25, 28] had little or no interparticle interaction, unlike later work based on molecular models and other criteria =-=[17, 34]. Our work-=- includes elements of Witkin and Heckbert's surface-constrained particles [41], and the orientation constraints of Szeliski and Tonneson [33]. Reynold's "boids" [27] introduced somewhat more... |

5 |
Przemyslaw Prusinkiewicz, and Johannes Battjes. A collision-based model of spiral phyllotaxis
- Fowler
- 1992
(Show Context)
Citation Context ...y based. The combination of developmental models with geometric constraints enables the creation of many organic patterns. It has been explored in work on plant growth [13, 23], plant organ placement =-=[10]-=-, and seashell patterning [9]. Interacting geometric elements were used by [10] to model the placement of plant organs. Our cells are a generalization of these elements, with many additional capabilit... |

2 | Physically-Based Modeling: A Structured Approach - Barzel - 1992 |

2 |
Cells: Simulations of multicellular development
- Fleischer
- 1994
(Show Context)
Citation Context ...l simulator [8]. is to create such displacement maps, for example by creating flow fields [21]. Biologically Motivated Morphogenesis The cellular development system which forms the basis of this work =-=[6, 7, 8]-=- incorporates elements of several established biological models of morphogenesis: Turing's morphogens [35], Odell's mechanical models [20], and Lindenmayer-system cell lineage determinants [24], as we... |

1 |
The making of a rockbuster. Cinefex
- Duncan
- 1994
(Show Context)
Citation Context ...te them are generally proprietary and unpublished, hence we cannot definitively compare them with our work. Software for orienting fur on a CG character has been developed at Industrial Light & Magic =-=[5]-=-. It is interesting to note that their discussion of the difficulties encountered closely parallels our own experience. Shapes The spherical shapes of cells in a simulation generally are not the shape... |

1 |
The mechanical basis of morphogenesis.Developmental Biology,85
- Odell, Oster, et al.
- 1981
(Show Context)
Citation Context ...ar development system which forms the basis of this work [6, 7, 8] incorporates elements of several established biological models of morphogenesis: Turing's morphogens [35], Odell's mechanical models =-=[20]-=-, and Lindenmayer-system cell lineage determinants [24], as well as our own model of cell contact and adhesion. Much well-known computer graphics work is biologically based. The combination of develop... |

1 | Anisotropicreflection models - Kajiya - 1985 |