Fitting convex surface to scattered data points with applications to medical imaging

Authors:
Ravi S. Gautam;Sachin B. Patkar
Affiliations:
Department of Mathematics, Indian Institute of Technology, Bombay, India;Department of Mathematics, Indian Institute of Technology, Bombay, India
Venue:
ICECS'03 Proceedings of the 2nd WSEAS International Conference on Electronics, Control and Signal Processing
Year:
2003

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Abstract

Designing surface models for products used in biomedical applications requires geometric softwares which can design good convex surfaces. Therefore the geometric modellers need to contain modules which can convexify a given grid of points, which in turn can be interpolated by surfaces using known algorithms to obtain almost convex surface. In this paper we explain our algorithm to design a smooth convex surface model for cranial implant fitting the cranial CT data in the least square sense.