To deeply understand homogeneous Markov transition probability method, the authors firstly consider a structure with three conditions. The model structure is shown in Fig. 2. The model structure shown in Fig. 2 is called Hidden Markov Model (HMM) with conditions. According to the model structure, homogeneous Markov transition probability, namely, P{objectn+1, Hi, Sj, Ak|Objectn}, is defined as: pTRijk,Hi,Sj,Ak=pTjk,Hi,Sj,Ak|Tik=pTjk|Hi,Sj,Akp{Hi}+pSj(t)|Sj(t-1)+pAk(t)|Ak(t-1) For the convenience of