X³ DSD
Direct Simplicial Dynamics

BioMedX’s X³ provides a computational model to calculate elastic surfaces. X³ is highly responsive while retaining a clear relation with the physical theory of tensors in continuum mechanics.
X³ works easily with triangles (polygons) and applies suitable methods to close the surfaces to generate volumes.
X³ uses simplices as they have the exact degrees of freedom and are naturally suited to the tensors of elasticity.
X³ DSD takes full advantage of the naturalness of simplices both to describe symmetric tensors and to accommodate speed and simplicity in 3D and surface textures for rendering. Thus, this mathematical approach avoids both the FEM's complexity and the inadequacies of the ball-and-springs approach.
X³ DSD and its novel mathematical approach are discussed and published in a peer-reviewed journal, Engineering Reports, by Wiley.

Simplices

BioMedX’s novel approach works easily with the triangles to close their surfaces and generate volumes by transforming them into tetrahedra. The X³ DSD equations allow the user to manipulate the same objects (simplices) favored by graphics applications, thereby making the development of software relatively straight-forward. Simplices are also naturally suited to the tensors of elasticity and the DSD approach is one of minimizing energy rather than solving for force balance.

Novel Features of
X³ 3D Physics Engine

True 3D

Other commercial physics engines manipulate polygons to form the 3-dimensional shape of an object. X³ is the only physics engine that uses sophisticated and proven scientific methods to convert polygons into 3D tetrahedra that are then impacted by defined applied energies.

Endless
Opportunities

Depending on the objective of the application, different data sources can be combined to form a dataset to drive the desired results of the simulation. BioMedX’s first application known as FACIEM³, integrates individualized facial scans, along with clinical and procedural data to drive the 3D simulations of lip augmentation and wrinkle smoothing.

Data-Specific Simulations

X³ uses specifically designated datasets to drive the outcomes of the simulation. This data input can be adjusted and customized to change the simulation results in real-time and have tremendous implications for medical, research, and many other verticals where simulations can be utilized to assess and optimize the desired results.