Biological Cybernetics
Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Curvature computation on free-form 3-D meshes at multiple scales
Computer Vision and Image Understanding
Computer Vision
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
The Complex EGI: A New Representation for 3-D Pose Determination
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiscale Image Processing on the Sphere
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
Laplace spectra as fingerprints for image recognition
Computer-Aided Design
Spherical Edge Detector: Application to Omnidirectional Imaging
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Technical Section: Fourier method for large-scale surface modeling and registration
Computers and Graphics
Wide-angle Visual Feature Matching for Outdoor Localization
International Journal of Robotics Research
Optimal estimation and detection in homogeneous spaces
IEEE Transactions on Signal Processing
International Journal of Computer Vision
On azimuthally symmetric 2-sphere convolution
Digital Signal Processing
Removal of surface artifacts of material volume data with defects
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Journal of Mathematical Imaging and Vision
Scale Invariant Feature Transform on the Sphere: Theory and Applications
International Journal of Computer Vision
Pyramid transform and scale-space analysis in image analysis
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
Rotation-Invariant HOG Descriptors Using Fourier Analysis in Polar and Spherical Coordinates
International Journal of Computer Vision
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A diffusion-based approach to surface smoothing is presented. Surfaces are represented as scalar functions defined on the sphere. The approach is equivalent to Gaussian smoothing on the sphere and is computationally efficient since it does not require iterative smoothing. Furthermore, it does not suffer from the well-known shrinkage problem. Evolution of important shape features (parabolic curves) under diffusion is demonstrated. A nonlinear modification of the diffusion process is introduced in order to improve smoothing behavior of elongated and poorly centered objects.