Gross M.H., Lippert L., Dittrich A., Hring S., Two Methods for Wavelet-Based Volume Rendering, Computers & Graphics 21 (2), 237-252, (1997).  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... 1 High Quality Wavelet Splatting for Volume Rendering Stefan Horbelt, Martin Vetterli, Michael Unser Swiss Federal Institute of Technology (EPFL) 1015 Lausanne, Switzerland email: Stefan.Horbelt,Martin.Vetterli,Michael.Unser epfl.ch 30 September 1998 Abstract We extended Gross s et al. [1,3] method of volume wavelet rendering by computing splats via least squares approximation. The method decomposes the volume data into a wavelet pyramid representation in the B spline domain. The splats of the basis functions are projected onto a multiresolution grid. The approximation error on the ....

M.H.Gross, L.Lippert, R.Dittrich and S.Haering, "Two methods for Wavelet-based Volume Rendering", Computer & Graphics, Vol. 21, No.2, pp 237-252, 1997.

.... representation [17, 18, 30, 36] However, raycasting of large data sets is not possible at interactive frame rates unless massive parallel hardware is used [3] A second technique renders x ray images directly from the wavelet representation by adding splats corresponding to the basis functions [15]. Unfortunately, it is not possible to extend this elegant technique to conventional volume rendering with emission and absorption effects. 3 WAVELET HIERARCHY The first step of our algorithm is to convert the volume data, which is given as a three dimensional array of integers with fixed ....

Gross, M.H., Lippet, L., Dittrich, R. H'firing, S.: Two methods for wavelet-based volume rendering. In: Computers and Graphics, (21)2, 237-252, 1997.

....sub cube for depth cueing, although the resulting image quality is poor. The wavelet domain extracts spatial frequency information from a volume and stores it in an efficient hierarchy. From this domain, either ray tracing or splatting can be used to progressively visualize the volume projection [24]. A few indirect methods forego all attempts at realism and instead opt for a preview quality rendering that gives a sense of shape, primarily through rapid interaction. Crawfis [13] proposed a method for arbitrary iso surface display by storing the data by value instead of position. If shading ....

M. H. Gross, L. Lippert, R. Dittrich, and S. Haring. Two methods for Wavelet-Based volume rendering. Computers & Graphics, 21(2):237--252, 1997.

.... Hybrid image object order direct methods have been developed that combine the efficiency of object order with the accuracy of image order [42, 85] Alternative methods have been developed that render directly from other domains such as the Fourier domain [48] and the wavelet compression domain [22]. Next, we describe the details of the most popular direct volume rendering technique: ray casting. In ray casting, each pixel of the image is generated by shooting a ray from the viewpoint through the image pixel and through the volume data. At equally spaced intervals along each ray, the volume ....

M. H. Gross, L. Lippert, R. Dittrich, and S. Haring. Two methods for Wavelet-Based volume rendering. Computers & Graphics, 21(2):237--252, 1997.

.... ###. Wavelet based multiresolution analysis has already found many applications in computer graphics. They include triangular surface approximation [28] multidimensional shape visualization [29] re#ectance function calculation [30] global illumination [31] radiosity [32] and volume rendering [33]. Readers can nd a good introduction to this topic and some more applications in [5] 4. Wavelet transform for interval surfaces In [1] the fundamental properties of wavelet transform are extended to surfaces of arbitrary topological type. In this section, we further extend that to the ....

Gross MH, Lippert L, Dittrich R. Haring, Two methods for wavelet-based volume rendering. Computers and Graphics 1997;21(2):237}52.

....methods assume that the mesh on which the data is defined can be reachedby recursive subdivision of a basic mesh. Thus every wavelet based scheme is associated to hierarchies that have a tree structure (where every parent node is subdivided into a set of child nodes) wavelet volume visualization ([5]) is related to octree structures, wavelet radiosity ( 4] and wavelet over triangulated domains ( 10, 12, 11] are based on quadtree structures. On the other hand, irregular triangular meshescannot be reached by subdivision rules, therefore hierarchical structures that have been developed to ....

M. H. Gross, L. Lippert, R. Dittrich, and S. Haring. Two methods for Wavelet-Based volume rendering. Computers & Graphics, 21(2):237--252, 1997.

.... we describe the relationship between global illumination and wavelet theory by describing hierarchical representations of relevant parameters, and by generalizing the wavelet based radiosity concept introduced in [14] Other applications of wavelets in volume rendering can be found in [22] [15], and [23] Starting from a set of source coefficients and opacity coefficients that are given on an equidistant discrete grid, we define and . To formalize the representation for emission and absorption, we can derive two functions for the source and opacity terms using the Haar scalar basis ....

M. H. Gross, L. Lippert, R. Dittrich, and S. Hring. "Two methods for wavelet-based volume rendering." Computers & Graphics, 21(2):237--252, Mar. 1997. ISSN 0097-8493.

....( 6] Since wavelets were originally discovered in signal analysis, where the data comes from regular samples, their application in scientific visualization began with uniformly gridded data sets. An important application domain for uniformly gridded data visualization is volume visualization ([2]) In the last few years, a major challenge has been to extend wavelet decompositions to work on more general data sets. The introduction of triangular wavelets in [3] for geometric meshes, and triangular spherical wavelets in [5] for scalar spherical data sets, were two crucial steps in that ....

M. H. Gross, L. Lippert, R. Dittrich, and S. Haring. Two methods for Wavelet-Basedvolume rendering. Computers& Graphics, 21(2):237--252, 1997.

....essentially allows a progressive transmission, where the information lost can be controlled locally and globally. Second, the client carries out all rendering immediately in the compression domain. That is we do not need to perform full decompression of the data while using wavelet splats [17] [8]. To increase performance and visual quality of the images, we propose some significant enhancements of the method. Especially, multiview images can be carried out at low additional costs and constant exponential transfer is incorporated by phase shifts in Fourier domain. Our paper is organized as ....

....our setup are illustrated in section 5. 2 Fundamentals of Wavelet Splats In this section we describe how wavelet splats can be defined and used for general volume rendering. Therefore, we briefly summarize the mathematical fundamentals of splat computation following the approach presented in [8]. In addition, a short description of low albedo rendering and wavelets are given. We assume, however, the reader is familiar with the mathematics of wavelets. 2.1 Low Albedo Volume Rendering Volume rendering can be regarded as a composition of particles that, in addition to their own emission, ....

[Article contains additional citation context not shown here]

M. Gross, L. Lippert, R. Dittrich, and S. Häring. "Two methods for wavelet-based volume rendering. " Technical Report 247, ETH-Zürich, 1996.

No context found.

Gross M.H., Lippert L., Dittrich A., Hring S., Two Methods for Wavelet-Based Volume Rendering, Computers & Graphics 21 (2), 237-252, (1997).

No context found.

M.H.Gross, L.Lippert, R.Dittrich, "Two Methods for WaveletBased Volume Rendering", Comp. & Graphics, Vol. 21, No.2, pp. 237--252, 1997.

No context found.

M.H. Gross, L. Lippert, R. Dittrich, S. Haring, Two Methods for Wavelet-Based Volume Rendering. Computers & Graphics , vol. 21, no. 2, pp. 237-252, 1997.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC