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We present a novel superpixel generation algorithm based on a new definition of geodesic distance, called bilateral geodesic distance. In contrast to the traditional geodesic distance, the new bilateral geodesic distance of two pixels considers the distance between their positions as well as their color difference. Superpixel generation is essentially a problem of clustering image pixels with respect...
Given two sets of points and in the plane, we address the problem of finding a set of circles $\mathbb{C} = \{c_i, i= 1, 2, \ldots, k\}$, satisfying the condition that every point in is covered by at least one circle and each point in is not covered by any circle $c_i, i = 1, 2, \ldots k$. We conjecture that to find such a set with the smallest is...
This paper discusses a new non-linear normal based subdivision scheme for surface interpolation of triangular meshes. The limit surface is G1 continuous, interpolating the mesh conditions (position and normal). Examples are presented, and some reconstruct sphere surface.
This paper presents a method to construct C1 polynomial surface with scattered data points. At first the given data points are divided into triangular networks, and then at the adjacent region of each point a C1 piecewise quadric interpolation patch is constructed. Objective function according to the stretching strain energy is constructed. Minimizing the objective function to determine the unknown...
This paper discuss the property of symmetric data interpolation surface. For the given data, when the parameters very, the interpolating surface varies, so the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed. The problem is that when the two parameters vary, how does the interpolating surface change. The discussion...
The magnitudes of the endpoint tangent vectors are optimized in the Hermite interpolation process so that the curve length of the optimized geometric Hermite curve is a minimum. The tangent angle constraints ensuring an optimized geometric Hermite curve geometrically smooth are discussed. For the cases in which the given tangent vectors do not satisfy the constraints, new methods for constructing...
This paper presents a new method for triangulation of implicit surfaces. Particle system is used for sampling on the given implicit surface to get steady and even particles. Two normal added vertices are obtained by extending the particle to an equal distance along the out normal vector and the inner normal vector. Two different methods for triangulation of implicit surfaces are presented. One is...
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