SEPARATING TABELLARIA (BACILLARIOPHYCEAE) SHAPE GROUPS BASED ON FOURIER DESCRIPTORS1

Separating Shape Graphs

Detailed memory models that expose individual fields are necessary to precisely analyze code that makes use of low-level aspects such as, pointers to fields and untagged unions. Yet, higher-level representations that collect fields into records are often used because they are typically more convenient and efficient in modeling the program heap. In this paper, we present a shape graph representa...

Fourier-based geometric shape prior for snakes

A novel method of snakes with shape prior is presented in this paper. We propose to add a new force which makes the curve evolve to particular shape corresponding to a template to overcome some well-known problems of snakes. The template is an instance or a sketch of the researched contour without knowing its exact geometric pose in the image. The prior information is introduced through a set o...

Lacunary Fourier Series on Noncommutative Groups

Fourier analysis on finite abelian groups

[2] The notation L(G) is meant to suggest the presence of the inner product on this space of functions. On a general space X with an integral, the iner product is 〈f1, f2〉 = ∫ X f1f 2. [3] The term character has different meanings in different contexts. The simplest sense is a group homomorphism to C×. However, an equally important use is for the trace of a group homomorphism ρ : G → GLn(k) fro...

Facial growth: separating shape from size.

Optical surface scanning technologies produce dense three-dimensional (3D) data sets, which allow detailed analysis of surface morphology. This paper describes a method of analysing change in facial shape independently of change in size. The 3D data from three male subjects from the age of 6-21 years were recorded using an optical surface scanner. A series of 22 conventional landmarks were loca...