Molecular surfaces are fitted to each other by a new solution to the problem of docking a ligand into the active site of a protein molecule. The procedure constructs patterns of points on the surfaces and superimposes them upon each other using a least-squares best-fit algorithm. This brings the surfaces into contact and provides a direct measure of their local complementarity. The search over ...

The engine inner wall surface temperature was measured by the plug blind-hole extrapolation, and multiple thermocouples were installed at different depths in the substrate. The engine wall extrapolation model of transient high temperature was established according to the basic principles of heat transfer. The transient temperatures were measured by thermocouples buried at different depths of th...

A list of technical reports, including some abstracts and copies of some full reports may be found at:

An outlier elimination algorithm for curve/surface fitting is proposed. This two-stage hybrid algorithm employs a proximitybased outlier detection algorithm, followed by a model-based one. First, a proximity graph is generated. Depending on the use of a hard/soft threshold of the connectivity of observations, two algorithms are developed, one graph-component-based and the other eigenspace-based...

Given a birational parameterization φ of an algebraic surface S in the projective space P3, the purpose of this paper is to investigate the sets of points on S whose preimage consists in k or more points, counting multiplicities. They are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated to the parameterization φ.

To assess if a given manufactured artifact conform to a template CAD model, the artifact is measured by a coordinate measuring system to obtain a point cloud. The point cloud is compared to the CAD model by fitting the point cloud to the CAD model. One of approaches is based on a method required to determine footpoint parameters. The footpoints are the projection of the points in the point clou...

This paper presents a novel methodology for extracting differential structure from noisy and discontinuous surfaces. We formulate the problem as a global MAP estimate which we develop under Bayesian principles. Development leads to two distinct MAP estimates for initial surface patch fitting and for subsequent surface refinement. Each estimate is realised through an iterative scheme which gauge...

A new surface profiling algorithm called the local model fitting (LMF) method is proposed. LMF is a single-shot method that employs only a single image, so it is fast and robust against vibration. LMF does not require a conventional assumption of smoothness of the target surface in a band-limit sense, but we instead assume that the target surface is locally constant. This enables us to recover ...

We present a differential geometric approach for cylindrical anatomical surface reconstruction from 3D volumetric data that may have missing slices or discontinuities. We extract planar boundaries from the 2D image slices, and parameterize them by an indexed set of curves. Under the SRVF framework, the curves are represented as invariant elements of a nonlinear shape space. Differently from sta...

Introduction The past decade has seen the emergence of computational metrology as a separate discipline. It deals with fitting and filtering discrete geometric data that are obtained by measurements made on manufactured parts. It plays an important role in manufacturing industry. A manufactured part may be measured to characterize the manufacturing process that produced it or to assess the conf...