This paper develops a novel computational technique to define and construct manifold splines with only one singular point by employing the rigorous mathematical theory of Ricci flow. The central idea and new computational paradigm of manifold splines are to systematically extend the algorithmic pipeline of spline surface construction from any planar domain to an arbitrary topology. As a result,...

In this paper we introduce an improvement in the path planning algorithm for the humanoid soccer playing robot which uses Ferguson splines and PSO (Particle Swarm Optimization). The objective of the algorithm is to find a path through other playing robots to the ball, which should be as short as possible and also safe enough. Ferguson splines create preliminary paths using random generated para...

marek's disease (md) is the most common lymphoproliferative diseases of chickens; during the last year the incidence of md was  investigated among slaughter houses and suspected broiler farms, located in  isfahan (iran) as the region of  highest density of poultry husbandry by histopathology,  for subclinical md investigation, in  total 1550 chickens originated  from slaughter houses  were exam...

This paper describes the problem of shape preserving approximation for data with speci ed tolerances Using the tool of generalized B splines GB splines for short simple one and three point algorithms of shape preserving local approximation with automatic choice of the tension parameters are de veloped In the two dimensional case tensor products of one dimensional splines are employed The result...

marek's disease (md) is the most common lymphoproliferative diseases of chickens; during the last year the incidence of md was  investigated among slaughter houses and suspected broiler farms, located in  isfahan (iran) as the region of  highest density of poultry husbandry by histopathology,  for subclinical md investigation, in  total 1550 chickens originated  from slaughter houses  were...

Marek's disease (MD) is the most common lymphoproliferative diseases of chickens; During the last year the incidence of MD was  investigated among slaughter houses and suspected broiler farms, located in  Isfahan (Iran) as the region of  highest density of poultry husbandry by histopathology,  For subclinical MD investigation, in  total 1550 chickens originated  from slaughter houses  were exam...

Easy to construct and optimally convergent generalisations of B-splines unstructured meshes are essential for the application isogeometric analysis domains with non-trivial topologies. Nonetheless, especially hexahedral meshes, construction smooth basis functions is still an open question. We introduce a simple partition unity that yields blended B-splines, referred as SB-splines, on semi-struc...

There are thousands of articles published on variants of splines, including least squares cubic splines. One of the first least squares articles was de Boor and Rice [1], and a comprehensive explanatory textbook is Dierckx [2]. Unfortunately, every example in the literature and on the web of a least squares cubic spline makes use of B-splines. While B-splines have a certain elegance, they are s...

A-splines are implicit real algebraic curves in Bernstein-B ezier (BB) form that are smooth. We develop a spectrum of physical A-spline curve models using various energy formulations based on the theory of elasticity. Our bending and stretching energy formulations yield interactive physically based modeling with A-splines while preserving the advantages of free-form modeling of complex shapes. ...

We give some empirical comparisons between two nonparametric regression methods based on regularization: the elastic or thin-plate splines, and plastic splines based on total variation penalties. 1. Nonparametric regression with elastic and plastic splines We seek f to fit the dependence of response points zi ∈ R on two-dimensional covariates (xi, yi) living in the domain Ω. To this end, we emp...