Abstract-The complex, non-intuitive kinematics of concentric tube robots can make their telemanipulation challenging. Collaborative control schemes that guide the operating clinician via repulsive and attractive force feedback based on intraoperative path-planning can simplify this task. Computationally efficient algorithms, however, are required to perform rapid path-planning and to solve the inverse kinematics of the robot at interactive rates. Until now, ensuring stable and collision-free robot configurations required long periods of pre-computation to establish kinematic look-up tables. This paper presents a high-performance robot kinematics software architecture, which is used together with a multi-node computational framework to rapidly calculate dense path-plans for safe telemanipulation of unstable concentric tube robots. The proposed software architecture enables on-the-fly incremental inverse-kinematics estimation at interactive rates, and is tailored to modern computing architectures with efficient multi-core CPUs. The effectiveness of the architecture is quantified with computationalcomplexity metrics, and in a clinically demanding simulation inspired from neurosurgery for hydrocephalus treatment. By achieving real-time path-planning active constraints can get generated on-the-fly and support the operator in faster and more reliable execution of telemanipulation tasks.