maxhessiannorm

Maximum of Frobenius norm of Hessian of matrix

Syntax

C = maxhessiannorm(I)

C = maxhessiannorm(I,thickness)

Description

C = maxhessiannorm(I) returns the maximum of Frobenius norm of the Hessian of grayscale image I.

C = maxhessiannorm(I,thickness) also specifies the thickness of tubular structures.

Examples

Input Arguments

I — Image with elongated or tubular structures

2-D grayscale image

Image with elongated or tubular structures, specified as 2-D grayscale image.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32

thickness — Thickness of tubular structures

4 (default) | positive integer

Thickness of tubular structures in pixels, specified as a positive integer.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Output Arguments

C — Maximum Hessian norm

numeric scalar

Maximum of the Frobenius norm of the Hessian of grayscale image I, returned as a numeric scalar.

Data Types: double

Tips

• maxhessiannorm is a helper function to fibermetric, which changed default behavior in R2018b. If you want to reproduce the prior default behavior, then specify StructureSensitivity as 0.5*maxhessiannorm(I).

References

[1] Frangi, Alejandro F., et al. Multiscale vessel enhancement filtering. Medical Image Computing and Computer-Assisted Intervention — MICCAI'98. Springer Berlin Heidelberg, 1998. pp. 130–137.