TVCG
2012
11 years 11 months ago
2012
—In this paper, we introduce a new approach to computing a Morse decomposition of a vector field on a triangulated manifold surface. The basic idea is to convert the input vector...
IJCAT
2010
13 years 7 months ago
2010
: In order to synthesize distortionless texture on surfaces, we develop a direct and accurate approach for local resampling in vector fields, and then use the approach to synthesiz...
FOCM
2002
13 years 9 months ago
2002
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
CGF
2000
13 years 9 months ago
2000
In recent years the work on vector field visualization has been concentrated on LIC-based methods. In this paper we propose an alternative solution for the visualization of unstea...
TVCG
2008
13 years 9 months ago
2008
Vector field analysis plays a crucial role in many engineering applications, such as weather prediction, tsunami and hurricane study, and airplane and automotive design. Existing ...
TOG
2008
13 years 9 months ago
2008
Illusory motion in a still image is a fascinating research topic in the study of human motion perception. Physiologists and psychologists have attempted to understand this phenome...
BC
2005
13 years 9 months ago
2005
A neural architecture is presented that encodes the visual space inside and outside of a shape. The contours of a shape are propagated across an excitable neuronal map and fed thro...
JMIV
2008
13 years 9 months ago
2008
Vector fields arise in many problems of computer vision, particularly in non-rigid registration. In this paper, we develop coupled partial differential equations (PDEs) to estimat...
ENTCS
2006
13 years 9 months ago
2006
This paper extends the domain theoretic method for solving initial value problems, described in [8], to unbounded vector fields. Based on a sequence of approximations of the vecto...
FOCM
2008
13 years 9 months ago
2008
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...