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Numerical Shape from Shading and Occluding Boundaries

by Katsushi Ikeuchi, Berthold K. P. Horn - Artifical Intelligence , 1981
"... An iterative method for computing shape from shading using occluding boundary information is proposed. Some applications of this method are shown. We employ the stereographic plane to express the orientations of surface patches, rather than the more commonly.used gradient space. Use of the stereogra ..."
Abstract - Cited by 254 (20 self) - Add to MetaCart
An iterative method for computing shape from shading using occluding boundary information is proposed. Some applications of this method are shown. We employ the stereographic plane to express the orientations of surface patches, rather than the more commonly.used gradient space. Use

Shape modeling with front propagation: A level set approach

by Ravikanth Malladi, James A. Sethian, Baba C. Vemuri - IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 1995
"... Shape modeling is an important constituent of computer vision as well as computer graphics research. Shape models aid the tasks of object representation and recognition. This paper presents a new approach to shape modeling which retains some of the attractive features of existing methods and over- ..."
Abstract - Cited by 808 (20 self) - Add to MetaCart
Shape modeling is an important constituent of computer vision as well as computer graphics research. Shape models aid the tasks of object representation and recognition. This paper presents a new approach to shape modeling which retains some of the attractive features of existing methods and over

Inverse Acoustic and Electromagnetic Scattering Theory, Second Edition

by David Colton , 1998
"... Abstract. This paper is a survey of the inverse scattering problem for time-harmonic acoustic and electromagnetic waves at fixed frequency. We begin by a discussion of “weak scattering ” and Newton-type methods for solving the inverse scattering problem for acoustic waves, including a brief discussi ..."
Abstract - Cited by 1061 (45 self) - Add to MetaCart
discussion of Tikhonov’s method for the numerical solution of ill-posed problems. We then proceed to prove a uniqueness theorem for the inverse obstacle problems for acoustic waves and the linear sampling method for reconstructing the shape of a scattering obstacle from far field data. Included in our

A Fast Marching Level Set Method for Monotonically Advancing Fronts

by J. A. Sethian - PROC. NAT. ACAD. SCI , 1995
"... We present a fast marching level set method for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential eq ..."
Abstract - Cited by 630 (24 self) - Add to MetaCart
We present a fast marching level set method for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential

Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow

by Mathieu Desbrun , Mark Meyer, Peter Schröder, Alan H. Barr , 1999
"... In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating high-fidelit ..."
Abstract - Cited by 542 (23 self) - Add to MetaCart
curvature flow operator that achieves a smoothing of the shape itself, distinct from any parameterization. Additional features of the algorithm include automatic exact volume preservation, and hard and soft constraints on the positions of the points in the mesh. We compare our method to previous operators

Detecting faces in images: A survey

by Ming-hsuan Yang, David J. Kriegman, Narendra Ahuja - IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 2002
"... Images containing faces are essential to intelligent vision-based human computer interaction, and research efforts in face processing include face recognition, face tracking, pose estimation, and expression recognition. However, many reported methods assume that the faces in an image or an image se ..."
Abstract - Cited by 839 (4 self) - Add to MetaCart
of its three-dimensional position, orientation, and the lighting conditions. Such a problem is challenging because faces are nonrigid and have a high degree of variability in size, shape, color, and texture. Numerous techniques have been developed to detect faces in a single image, and the purpose

A computational approach to edge detection

by John Canny - IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 1986
"... This paper describes a computational approach to edge detection. The success of the approach depends on the definition of a comprehensive set of goals for the computation of edge points. These goals must be precise enough to delimit the desired behavior of the detector while making minimal assumpti ..."
Abstract - Cited by 4675 (0 self) - Add to MetaCart
. We use the criteria in numerical optimization to derive detectors for several common image features, including step edges. On specializing the analysis to step edges, we find that there is a natural uncertainty principle between detection and localization performance, which are the two main goals

Comment on "Numerical shape from shading and occluding boundaries"

by K. Ikeuchi, K. Ikeuchi , 1993
"... Ikeuch. K.. Comment on Numerical shape from shading and occluding boundaries", Artificial Intelligence 59 (1993) 89-94. ..."
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Ikeuch. K.. Comment on Numerical shape from shading and occluding boundaries", Artificial Intelligence 59 (1993) 89-94.

Numerical Shape Optimization in Industrial Glass Blowing

by J A W M Groot , C G Giannopapa , R M M Mattheij
"... ..."
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A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics

by Satya N. Atluri, Shengping Shen - Comput. Mech , 1998
"... Abstract: A comparison study of the efficiency and ac-curacy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local Petrov-Galerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored. Differe ..."
Abstract - Cited by 312 (54 self) - Add to MetaCart
methods require background cells. Because complicated shape functions for the trial function are inevitable at the present stage, in order to develop a fast and robust meshless method, we explore ways to avoid the use of a domain integral in the weak-form, by choosing an appropriate test function
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