Edge detection and mathematic fitting for corneal surface with Matlab software

Abstract

It is feasible to simulate the corneal surface with mathematical curve with Matlab software. Edge detection has better repeatability and higher efficiency. The manual identifying approach is an indispensable complement for detection. Polynomial and conic section are both the alternative methods for corneal curve fitting. Conic curve was the optimal choice based on the specific geometrical properties.

Prediction of condylar movement envelope surface based on facial morphology

“…In recent years, mathematical expressions have been increasingly used in medical research [ 10 , [38] , [47] , [48] , [49] , [50] , [51] , [52] , [53] ]. Shang et al established the functional models for cleft palate patients [ 47 ], while Wellens applied these functions to analyze mandibular arch forms in mixed dentition patients with crowding [ 49 ].…”

“…The envelope surface reflects the outer 3D shape of the condylar movement. Although the geometric morphology of the envelope surfaces showed some similarities, there were still significant individual differences compared to the corneal surface [ 48 , 54 ] and semicircular canals [ 50 ]. Therefore, it is difficult to mathematically express the geometric morphology of envelope surfaces.…”

Delayed reorganisation of F-actin cytoskeleton and reversible chromatin condensation in scleral fibroblasts under simulated pathological strain

“…Chromatin condensation parameter (CCP) was calculated through a bespoke MATLAB script as previously described [ 19 ]. Based on the Sobel edge detection [ 20 ], an objective parametric assessment of chromatin compaction is produced, representative of the ratio between the registered edges in pixels against the total pixel area, permitting comparison between differently sized nuclei and a CCP-based evaluation of chromatin condensation [ [21] , [22] , [23] , [24] ].…”

Comparison of edge detection operators in digital image processing

“…Yue Di et al [5] compare the effects of five edge detection operators in edge detection on the corneal surface: 'Sobel', 'Canny', 'Prewitt', 'Roberts', and 'Log'. The Canny return image is found to have a most smooth and complete curve.…”