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» Computational Topology for Shape Modeling
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CAD
2004
Springer
13 years 7 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
DGCI
2005
Springer
14 years 1 months ago
Shape Preserving Digitization of Binary Images After Blurring
Topology is a fundamental property of shapes in pictures. Since the input for any image analysis algorithm is a digital image, which does not need to have the same topological char...
Peer Stelldinger, Ullrich Köthe
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 7 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto
SIGGRAPH
2010
ACM
14 years 1 days ago
Discrete scale axis representations for 3D geometry
This paper addresses the fundamental problem of computing stable medial representations of 3D shapes. We propose a spatially adaptive classification of geometric features that yi...
Balint Miklos, Joachim Giesen, Mark Pauly
RTCSA
2007
IEEE
14 years 1 months ago
A Dynamic Medial Axis Model for Sensor Networks
An important property in a sensor network is the monitoring of temporal changes of hazardous situations such as forest fires. Rescue groups need to be aware of dynamic changes th...
Lan Lin, Hyunyoung Lee