Geometry & software for product teams

Solve the 3D problems holding your product back.

We help product and engineering teams turn imperfect scans and difficult geometric problems into usable models, algorithms, and dependable software.

Discuss your challenge See a repair example

In practice / Finger repair

Repair the surface.
Keep fingers separate.

Original s0038 hand scan with open boundaries around the fingers outlined in gold.
Original scan
Poisson reconstruction of the s0038 scan, with surface bridges between the fingers.
Poisson
Our s0038 repair, with the missing surface reconstructed and gaps between the fingers retained.
Our repair

Same source scan. Our repair preserves the gaps between fingers; this Poisson result bridges them.

From a difficult input to a defined result.

Understand the problem Test the solution Put it to work

What’s getting
in your team’s way?

Bring us the part that isn’t working. We’ll help define what a useful result looks like and how to get there.

01 / IMPERFECT DATA

The scan is incomplete.

Holes, missing regions, and irregular surfaces interrupt your 3D workflow. We develop reconstruction and processing methods around the geometry you have.

Work toward Repaired surfaces and tools to inspect the result.

See the scan-repair example
02 / A DIFFICULT ALGORITHM

The hard cases keep breaking it.

Your software needs to handle intersections, proximity, or complex shapes. We develop and test algorithms against representative inputs and your constraints.

Work toward Algorithms validated against agreed test cases.

03 / THE NEXT STEP

The prototype needs to ship.

You have a promising idea, but it needs an interface, integration, and dependable behavior. We connect the mathematics to the software your team can use.

Work toward Working software, documentation, and a clear handover.

Mathematics.
Engineering.
Real products.

Carlos Valero

A mathematician and software engineer with a DPhil in Mathematics from the University of Oxford. His work spans geometric modelling, simulation tools, and product development.

Read Carlos’s full experience

Selected contract work by Carlos Valero

XOArmor

2023

Modelling software for parts made with 3D printing in medical applications.

Novalabs

2023

An interface to design reactor geometry for fluid-flow simulations.

3D People

2022

Processing and refining 3D models for additive manufacturing.

Optimuse

2022

Research and product development for the design of sustainable buildings.

The methods behind
the result.

Once the problem is clear, we choose the right mathematics and engineering to solve it. These are the capabilities we bring to your team.

01

Geometric algorithms

THE MATHEMATICS THAT MAKES IT WORK

Purpose-built algorithms for intersections, proximity, spatial search, and optimization. A clear path from a geometric question to a computable answer.

02

Meshes & surfaces

FROM RAW DATA TO MEANINGFUL FORM

Reconstruction, remeshing, and surface processing. Turn point clouds and imperfect geometry into representations ready for the next step.Explore scan repairs

03

Geometry into software

BEYOND THE PROOF OF CONCEPT

Bring geometric capabilities into your product. We connect the underlying mathematics with practical code, clear interfaces, and your existing workflow.

Curious about the mathematics?Explore an interactive example

One point.
Many connections.

Finding neighbors and dividing space are building blocks for spatial search, meshing, and simulation. Move a point in this study and see those relationships change.

The same attention to geometry guides our work on the difficult inputs and edge cases in your product.

Explore Carlos’s research
+ ORDER / EMERGENCE077 SITES
An interactive point field showing a Delaunay triangulation and its Voronoi cells.
DELAUNAY × VORONOIOne point changes everything.
DUAL GEOMETRY

Showing the Delaunay triangulation and Voronoi cells together.

A thoughtful path
from problem to possibility.

A focused collaboration, shaped around your problem. Clear thinking, close communication, and something useful at every step.

Every engagement is defined by its outcomes. We agree the deliverables and acceptance criteria at the start, then bring our own methods to reach them.

01 / UNDERSTAND

Find the real problem.

Start with your geometry, constraints, and goals. Define what success looks like before choosing how to get there.

Problem definition & technical direction
02 / EXPLORE

Make the idea tangible.

Develop and test the approach with representative data. Expose trade-offs early and give the difficult cases attention.

Algorithms, prototypes & validation
03 / DELIVER

Build for what comes next.

Turn the validated approach into usable software, with the documentation and integration support to move forward.

Working code & a clear handover

How we work together

Two ways to engage.

Projects: a defined problem, scope, and deliverable, agreed before work begins.

Licensed services: proven methods available as a hosted service you call directly.

What’s holding
your product back?

Tell us what fails today and what a successful result would look like. A short description of your product, inputs, and constraints is a good place to start.

contact@geometryweave.com Discuss your challenge

A conversation is a good beginning

Let’s talk
geometry.

Tell us what fails today and what a successful result would look like. Copy our address or open a draft in your email app.

Open email app

Every solution starts with a question

What are you
working on?

Capture the essentials. Download your brief and share it with contact@geometryweave.com. Nothing is submitted automatically.