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Parametric Surfaces

Parametric Surfaces

A parametric surface in three-dimensional space is defined through a vector-valued function\begin{equation*}\mathbf{r}(u, v) = x(u, v)\mathbf{i} + y(u, v)\mathbf{j} + z(u, v)\mathbf{k}\end{equation*}where u and v are parameters within a specified domain D in the uv-plane. The functions x(u, v), y(u, v), and z(u, v) define the coordinates of points on the surface. As u and v vary over D, the position vector r(u, v) traces a continuous surface in space. This parametric representation is essential...

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Three-dimensional differences in plantar surface shape captured by methods used for custom accommodative insole

Kimberly A Nickerson^1,2, Christina Carranza¹, Scott Telfer^1,2,3

¹VA RR&D Center for Limb Loss and MoBility (CLiMB), VA Puget Sound Health Care System, Seattle, WA, USA.

Journal of Foot and Ankle Research

|January 31, 2025

Summary

This summary is machine-generated.

Different methods for capturing foot shapes for custom diabetic insoles yield varied results. These differences in foot shape data can impact the final insole design and effectiveness in reducing ulceration risk.

Keywords:

3D scanning custom accommodative insoles diabetes plantar surface shape

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Area of Science:

Biomechanics
Medical Device Design
Diabetic Foot Care

Background:

Custom accommodative insoles for diabetes patients improve foot contact and reduce ulceration risk by offloading high-pressure areas.
Plantar surface shape is crucial for insole design, traditionally captured via foam crush boxes or 3D scanning.

Purpose of the Study:

To compare the plantar surface shapes captured by foam crush box impressions versus 3D scanning methods.
To assess how variations in captured foot shapes affect insole design and performance.

Main Methods:

Plantar foot shapes of 12 diabetic individuals were captured using foam crush boxes, flatbed 3D scanners, and handheld 3D scanners.
Key foot measurements (length, width, arch height/volume) were compared across methods.
Mesh-to-mesh distances were calculated between different capture methods.

Main Results:

Foam crush boxes yielded larger foot length and width measurements compared to both 3D scanners.
Flatbed scanners produced smaller arch height and volume measurements than foam crush boxes and handheld scanners.
3D scanning methods showed varying degrees of accuracy in capturing specific foot regions compared to foam crush boxes.

Conclusions:

Clinical methods for capturing foot shapes for accommodative insoles produce different plantar surface outputs.
These discrepancies can influence the design and efficacy of custom accommodative insoles for diabetic patients.